i < ~1, i < 0 ⊦ m < # int2bits(i) ↔ ¬ 0 ≤ i + 2 ^ (n→i(m) - 1)
Used simplifier rules: ⊦ ¬ i ≤ j ↔ j < i;% ⊦ ¬ m < n ↔ n ≤ m;% ⊦ i < (* j) ∧ j < 0 → i < 0; (forward)